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Simple graded rings, nonassociative crossed products and Cayley-Dickson doublings
Högskolan Väst, Institutionen för ingenjörsvetenskap, Avdelningen för Matematik, Data- och Lantmäteriteknik.ORCID-id: 0000-0001-6594-7041
Blekinge Tekniska Högskola, Karlskrona, Sweden.
2020 (engelsk)Inngår i: Journal of Algebra and its Applications, ISSN 0219-4988, E-ISSN 1793-6829, Vol. 19, nr 12, artikkel-id 2050231Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

e show that if a nonassociative unital ring is graded by a hypercentral group, then the ring is simple if and only if it is graded simple and the center of the ring is a field. Thereby, we extend a result by Jespers to a nonassociative setting. By applying this result to nonassociative crossed products, we obtain nonassociative analogues of results by Bell, Jordan and Voskoglou. We also apply our result to Cayley-Dickson doublings, thereby obtaining a new proof of a classical result by McCrimmon. © 2020 World Scientific Publishing Company.

sted, utgiver, år, opplag, sider
2020. Vol. 19, nr 12, artikkel-id 2050231
Emneord [en]
Cayley algebra, group graded ring, nonassociative crossed product, Nonassociative ring, simplicity
HSV kategori
Forskningsprogram
TEKNIK, Matematik
Identifikatorer
URN: urn:nbn:se:hv:diva-14872DOI: 10.1142/S021949882050231XISI: 000580549500008Scopus ID: 2-s2.0-85076527806OAI: oai:DiVA.org:hv-14872DiVA, id: diva2:1389168
Tilgjengelig fra: 2020-01-29 Laget: 2020-01-29 Sist oppdatert: 2025-09-30bibliografisk kontrollert

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Totalt: 250 treff
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